Class 11Mathematics2 Complex Numbers and Quadratic Equations: Quadratic EquationsRelation between roots and coefficients
EasyIf $p$ and $q$ are the roots of the equation $x^2 + pq = (p + 1)x$,then $q=$
- A$-1$
- B$1$
- C$2$
- DNone of these
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If $a$ and $b$ are roots of $x^2 - px + q = 0$,then $\frac{1}{a} + \frac{1}{b} = $
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If $\lambda$ is the ratio of the roots of the quadratic equation in $x$,$3m^2x^2 + m(m - 4)x + 2 = 0$,then the least value of $m$ for which $\lambda + \frac{1}{\lambda} = 1$ is:
DifficultJEE MAIN 2019
View SolutionIf $\alpha, \beta, \gamma$ are the roots of the equation $x^3-5x^2-2x+24=0$,then $\frac{\beta\gamma}{\alpha}+\frac{\gamma\alpha}{\beta}+\frac{\alpha\beta}{\gamma}=$
If the product of the roots of the equation $(a + 1)x^2 + (2a + 3)x + (3a + 4) = 0$ is $2$,then the sum of the roots will be:
Medium
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